FOTD -- September 01, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's image is named "The Very Last Midget". No, it is not the last midget I will ever find, but it is the last midget that will appear in a FOTD for the rest of September. In fact, today's image with its midget was originally scheduled to be posted on August 31, but a heavy load of work prevented me from posting it on schedule. Tomorrow's FOTD, and those for the rest of the month, will hold no midget. Today's scene is located in the oversized fractal that results when Z^(1.7) is subtracted from 1/10 part of Z^(-1.7) and (1/C) is added. Since I do not think too much of the image, I did not bother giving it a rating. But it is still worth a quick look, especially if that look is on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image can be found, ready for easy download. Crop circles and fractals -- an interesting combination. My opinion is that most crop circles are created by clever human pranksters, but like with UFO's there is a small but puzzling residue of unexplained circles. Are the unexplained circles caused by visitors from space? Most likely not. Are they caused by supernatural forces? Probably not. Are they caused by as yet undiscovered natural forces of earth? Probably so. But whether crop circles are real or fake, in my opinion, there are far more interesting and mysterious things that exist in the ultra-large realms of the cosmos and the ultra-small world of the atoms. A cloudy somewhat chilly day here at New Fractal Central on Thursday went un-noticed by the new fractal cats, who spent the day looking for and finding trouble. Nico somehow got himself shut up in the coat closet this evening, where he spent about two hours. When we noticed him missing and checked the closet, he strolled out, looking at us as if to ask, "what took you so long?" Cassie watched with interest, wondering what all the excitement was about. My day was quite busy, but the work is nearly caught up, which means the next FOTD should appear on schedule in 24 hours. Until then, take care, and could crop circles actually be the physical manifestation of fractals? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= TheVeryLastMidget { ; time=0:07:48.13--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+4.51597914219008500/-18.05143327549904\ 000/2692.853/1/170/1.00111906334299228e-008 params=0.1/-1.7/-1/1.7/0/0 float=y maxiter=2500 inside=0 logmap=115 periodicity=10 colors=00029G4BH7DJAFKDHLFJNILOMOQQRRTUTXYU`bVdgXg\ kbknnpqyrsztqvupsvnowmlxkhxjexjaxiZyiVyhSyiOyjLxiN\ xhOxgPxfQxdRxbSxaTx_UxYVxXWxVXxTZxR_xQ`xOaxMbxLcxJ\ dxHexGfxEgxChxBiuFgrXfoTelTciUbfYac```dZYhYVlXSoVP\ sUMwTJzSJzSJvRJrQJmQJhPJcOJ_OJYNJWMJUMJSLJQKJOKJMJ\ JKIJIIJGHJEGJCGJAFJAEJAEJADJACJACJABJAAJAAJA9JC9LE\ CNGEPIGRKISMKUOMWQOYSQZUS`WUbYWd_Yea_gcaieckgelign\ kipmkromsqousqwusywuzxwtqsokpjemd_j_TfVNcPH`KBYF5V\ H7XI8YK9ZLB_NC`ODaQFbRGcTHdUJeWKfXLgZNh_Oi`PjaOkaO\ kaOkaOkaOkaOkaOlaOlbOlbOlbOlbOlbOlbOmbOmbOmbOmcOmc\ OmcOncOncOncOncOncOncOnaQl`Rj_TiZUgYVeXXdWYbVZ`U`_\ TaYSbWRdVQeTPfROhQNiOMjNNkONkPNkQOkQOkROkSOkSMjRLj\ QKjPJjOIjNHjMGiLFiKEiJCiIBiHAiG9hF8hE7hD6hC5hB4hA3\ h92UN2G`22m55i78fABcCE`FHYHKVKNSMQPPTMRWJUZGWaDYcA\ ZdBZdCZdDZdEZdFZdG_eH_eI_eJ_eK_eK_eL`fM`fN`fO`fP`f\ Q`fRagSagTagTagUagVSKaUMb } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================